Golden Section Search Complete the code doing Golden Section Search for function minimization below. Stop the iteration when your bracket is less than 10-8 wide. You must be sure that you evaluate the objective function only as many times as necessary, and the autograder will check for this. The supplied plotting code shows the evolution of your brackets. Observe how one of the bracket midpoints stays the same from one iteration to the next. The setup code gives the following variables: Name Type f func(float) Description A unimodal function to minimize left end of starting bracket right end of starting bracket a float b float Your code snippet should define the following variables: Name Type a float Description left end of final bracket right end of final bracket b float * 1 import numpy as np 2 import matplotlib. pyplot as plt 3 4 brackets = [] 5 gs = (np. sqrt(5) - 1) / 2 6 m1 = a + (1 - gs) * (b - a) 7 m2 = a + gs (b - a) 8 9 # Begin your modifications below here 10 11. while False: 12 brackets. append([a, mi, m2, b]) 13 14 # End your modifications above here 15 16 # Plotting code below, no need to modify 17 x = np. linspace(-10, 10) 18 plt. plot(x, f(x)) 19 20 brackets = np. array(brackets) 21 names=['a', 'ml', 'm2', 'b'] 22, for i in range(4): 23 plt. plot(brackets[:, i], 3*np. arange(len(brackets)), '.-', label=names[i]) 24 plt. legend)